find the general solution of Attachment 26657

i know this is a first order non linear differential eqn

but how to solve this equation

i divided by xy tried to make this exact and then find the integrating factor but i am unable to do so

help

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- Jan 22nd 2013, 01:51 AMprasumDifferential eqn
find the general solution of Attachment 26657

i know this is a first order non linear differential eqn

but how to solve this equation

i divided by xy tried to make this exact and then find the integrating factor but i am unable to do so

help - Jan 22nd 2013, 06:49 AMJJacquelinRe: Differential eqn
- Jan 22nd 2013, 07:40 AMprasumRe: Differential eqn
There is no typo in the problem

- Jan 22nd 2013, 08:27 AMtopsquarkRe: Differential eqn
- Jan 22nd 2013, 09:02 AMprasumRe: Differential eqn
i divided it by xy then separated dx and dy terms to get

ydx+xdy+2xy^3dx-x^2ydy=0

then

d(xy)+i can make this part exact by calculating the integrating factor in terms of y and then solving it - Jan 22nd 2013, 10:15 AMJJacquelinRe: Differential eqn